Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions
From MaRDI portal
Publication:2920779
DOI10.1142/S0218127414500722zbMath1296.35092WikidataQ61891148 ScholiaQ61891148MaRDI QIDQ2920779
Tingwen Huang, Xiongping Dai, Goong Chen, Yu Huang
Publication date: 29 September 2014
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial-boundary value problems for first-order hyperbolic systems (35L50)
Related Items
Chaotic vibrations of 3D linear hyperbolic PDEs with linear perturbations of superlinear boundary conditions, Observer design and stability analysis for a class of PDE chaotic systems, Chaotic dynamics of a 2D hyperbolic PDE with the boundary conditions of superlinear type, Nonisotropic chaotic vibrations of a 2D hyperbolic PDE
Cites Work
- Rapid fluctuations of chaotic maps on \(\mathbb {R}^N\)
- Rapid fluctuation for topological dynamical systems
- Growth rates of total variations of snapshots of 1D linear wave equations with nonlinear right-end boundary conditions
- A new characterization of nonisotropic chaotic vibrations of the one-dimensional linear wave equation with a van der Pol boundary condition.
- Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach
- Topological horseshoes
- Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- Period Three Implies Chaos
- Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis
- Two examples of ill-posedness with respect to time delays revisited
- GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS
- BOUNDARY FEEDBACK ANTICONTROL OF SPATIOTEMPORAL CHAOS FOR 1D HYPERBOLIC DYNAMICAL SYSTEMS
- CHAOTIC BEHAVIOR OF INTERVAL MAPS AND TOTAL VARIATIONS OF ITERATES
- Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
- NONISOTROPIC SPATIOTEMPORAL CHAOTIC VIBRATION OF THE WAVE EQUATION DUE TO MIXING ENERGY TRANSPORT AND A VAN DER POL BOUNDARY CONDITION
- Real Analysis and Probability
- Chaotic Vibrations of the One-Dimensional Wave Equation due to a Self-Excitation Boundary Condition.
- Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition.
- Nonisotropic spatiotemporal chaotic vibrations of the one-dimensional wave equation with a mixing transport term and general nonlinear boundary condition
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- RAPID FLUCTUATIONS OF SNAPSHOTS OF ONE-DIMENSIONAL LINEAR WAVE EQUATION WITH A VAN DER POL NONLINEAR BOUNDARY CONDITION
- Differentiable dynamical systems
- Quadratic Performance Criteria in Boundary Control of Linear Symmetric Hyperbolic Systems
